Vector decomposition refers to the process of breaking down a vector into its component parts. Some common synonyms for vector decomposition include vector resolution, vector breakdown, vector analysis, vector splitting, and vector separation. Vector resolution involves finding the components of a vector that are in a specific direction, while vector analysis involves identifying the magnitude and direction of a vector. Vector splitting is another way to describe vector decomposition, as it refers to dividing a vector into its constituent parts. Finally, vector separation refers to isolating individual components of a vector for further analysis or manipulation. Overall, these synonyms all reflect the process of breaking down a vector into its component parts for further analysis or application.